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Synopsis
The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced. It allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account will be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics.
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Book Description
The theory of distributions has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. In this classic text the theory is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces; and in this second edition, the notion of the wavefront set of a distribution is introduced. This account will be useful to graduate students and research workers who are inetersted in the applications of analysis in mathematics and mathematical physics.
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"...a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss." Bulletin of the London Mathematical Society
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Introduction to the Theory of Distributions
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Introduction to the Theory of Distributions
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Introduction to the Theory of Distributions
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Introduction to the Theory of Distributions (Hardcover)
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Cambridge University Press, Cambridge, 1999
ISBN 10: 0521640156
ISBN 13: 9780521640152
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Hardcover. Condition: new. Hardcover. The theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced, which allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution.This is done in an elementary fashion without using any involved theories. This account should therefore be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics. The theory of distributions has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. In this text the theory is taken as far as Schwartz kernels, the Paley-Weiner-Schwartz theorem and Sobolev spaces. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521640152
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Introduction to the Theory of Distributions
Published by
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ISBN 10: 0521640156
ISBN 13: 9780521640152
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Introduction to the Theory of Distributions (Hardcover)
Published by
Cambridge University Press, Cambridge, 1999
ISBN 10: 0521640156
ISBN 13: 9780521640152
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Hardcover. Condition: new. Hardcover. The theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced, which allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution.This is done in an elementary fashion without using any involved theories. This account should therefore be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics. The theory of distributions has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. In this text the theory is taken as far as Schwartz kernels, the Paley-Weiner-Schwartz theorem and Sobolev spaces. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521640152
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Introduction to the Theory of Distributions (Hardcover)
Published by
Cambridge University Press, Cambridge, 1999
ISBN 10: 0521640156
ISBN 13: 9780521640152
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Seller: Grand Eagle Retail, Mason, OH, U.S.A.
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Hardcover. Condition: new. Hardcover. The theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced, which allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution.This is done in an elementary fashion without using any involved theories. This account should therefore be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics. The theory of distributions has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. In this text the theory is taken as far as Schwartz kernels, the Paley-Weiner-Schwartz theorem and Sobolev spaces. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521640152
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Introduction to the Theory of Distributions
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In this classic graduate text, first published in 1999, the theory of distributions is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces and also in this edition, the notion of the wavefront set. Seller Inventory # 446943353
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Introduction to the Theory of Distributions
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ISBN 13: 9780521640152
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Introduction to the Theory of Distributions
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ISBN 13: 9780521640152
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